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Simplifying -4y2(-3y2 + 6) = 0 Reorder the terms: -4y2(6 + -3y2) = 0 (6 * -4y2 + -3y2 * -4y2) = 0 (-24y2 + 12y4) = 0 Solving -24y2 + 12y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '12y2'. 12y2(-2 + y2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-2 + y2)' equal to zero and attempt to solve: Simplifying -2 + y2 = 0 Solving -2 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y2 = 0 + 2 y2 = 0 + 2 Combine like terms: 0 + 2 = 2 y2 = 2 Simplifying y2 = 2 Take the square root of each side: y = {-1.414213562, 1.414213562}Solution
y = {0, -1.414213562, 1.414213562}
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